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Journal Articles Advances in Mathematics Year : 2007

Etude de l'algèbre de Lie double des arbres enracinés décorés

Loïc Foissy

Abstract

the double Lie algebra L^D of rooted trees decorated by a set D is introduced, generalising the construction of Connes and Kreimer. It is shown that it is a simple Lie algebra. Its derivations and its automorphisms are described, as well as some central extensions. Finally, the category of lowest weight modules is introduced and studied.
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hal-00160832 , version 1 (09-07-2007)

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  • HAL Id : hal-00160832 , version 1

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Loïc Foissy. Etude de l'algèbre de Lie double des arbres enracinés décorés. Advances in Mathematics, 2007. ⟨hal-00160832⟩

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